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Finding the Fourth Proportional to 541.07, 745.57 and 507.05

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Solution

The fourth proportional to 541.07, 745.57 and 507.05 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.07 : 745.57 = 507.05 : x
  2. Step 2: Convert to fraction form
    541.07/745.57 = 507.05/x
  3. Step 3: Cross multiply
    541.07x = 745.57 × 507.05
  4. Step 4: Simplify right side
    541.07x = 378,041.27
  5. Step 5: Solve for x
    x = 378,041.27/541.07
  6. Step 6: Final answer
    x = 698.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.